点击次数：

论文类型：期刊论文

发表时间：2009-03-01

发表刊物：JOURNAL OF VIBRATION AND CONTROL

收录刊物：SCIE、EI、Scopus

卷号：15

期号：3

页面范围：465-478

ISSN号：1077-5463

关键字：Precise integration; optimal control

摘要：The time-delay discrete-time equations are derived directly from the differential vibration equations for structures in state space, with discrete parameters obtained via the precise integration method. Then a state vector expansion method is used to transform these equations into ones which do not contain time-delay terms explicitly. Next, the order of this system is substantially reduced by using the balanced reduction method to form a dominant subsystem which is based on the eigenmodes of the state subspace with highest controllability. The controllers are then designed by the discrete time-delay optimal control theory, which contains the control terms not only of the current state but also of a few previous states, in order to reflect the effect of time delays. By using the proposed method, the order of the controller is very substantially reduced without causing any essential difference in the control effect. A numerical example for a shear-type building is presented and it shows the effectiveness of the proposed method even when time delays are quite large.